Anisotropic characteristics of the kraichnan direct cascade in two-dimensional hydrodynamic turbulence

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Тип публикации: статья из журнала

Год издания: 2015

Идентификатор DOI: 10.1134/S0021364015230083

Аннотация: The statistical characteristics of the Kraichnan direct cascade for two-dimensional hydrodynamic turbulence are numerically studied (with spatial resolution 8192 ? 8192) in the presence of pumping and viscous-like damping. It is shown that quasi-shocks of vorticity and their Fourier partnerships in the form of jets introduce an essПоказать полностьюential influence in turbulence leading to strong angular dependencies for correlation functions. The energy distribution as a function of modulus k for each angle in the inertial interval has the Kraichnan behavior, ~k–4, and simultaneously a strong dependence on angles. However, angle average provides with a high accuracy the Kraichnan turbulence spectrum Ek = CK?2/3k–3, where ? is the enstrophy flux and the Kraichnan constant CK ? 1.3, in correspondence with the previous simulations. Familiar situation takes place for third-order velocity structure function S3 L which, as for the isotropic turbulence, gives the same scaling with respect to the separation length R and ?, S3 L= C3?R3, but the average over the angles and time differs from its isotropic value. © 2015, Pleiades Publishing, Inc.

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Издание

Журнал: JETP Letters

Выпуск журнала: Vol. 102, Is. 11

Номера страниц: 760-765

Персоны

  • Kuznetsov E.A. (Novosibirsk State University, Novosibirsk, Russian Federation, Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russian Federation, Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russian Fed)
  • Sereshchenko E.V. (Novosibirsk State University, Novosibirsk, Russian Federation, Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russian Federation, Far-Eastern Federal University)

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